Chebyshev spectral elements are applied to dissipation analysis of pore-pressure of roller compaction earth-rockfilled dams (ERD) during their construction. Nevertheless, the conventional finite element, for its excellent adaptability to complex geometrical configuration, is the most common way of spatial discretization for the pore-pressure solution of ERDs now [1]. The spectral element method, by means of the spectral isoparametric transformation, surmounts the disadvantages of disposing with complex geometry. According to the illustration of numerical examples, one can conclude that the spectral element methods have the following obvious advantages: 1) large spectral elements can be used in spectral element methods for the domains of homogeneous material; 2) in the application of large spectral elements to spatial discretization, only a few leading terms of Chebyshev interpolation polynomial are taken to arrive at the solutions of better accuracy; 3) spectral element methods have excellent convergence as well-known. Spectral method also is used to integrate the evolution equation in time to avoid the limitation of conditional stability of time-history integration
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Azizi, N., Saadatpour, M.M. and Mahzoon, M. (2012) Using Spectral Element Method for Analyzing Continuous Beams and Bridges Subjected to a Moving Load. Applied Mathematical Modelling, 36, 3580-3592. https://doi.org/10.1016/j.apm.2011.10.019
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Raju, G.N., Dutt, P., Kumar, N.K. and Upadhyay, C.S. (2014) Spectral Element Method for Elliptic Equations with Periodic Boundary Conditions. 246, 426-439.
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Oliveira, S.P. and Azevedo, J.S. (2014) Spectral Element Approximation of Fredholm Integral Eigenvalue Problems. Journal of Computational and Applied Mathematics, 257, 46-56. https://doi.org/10.1016/j.cam.2013.08.016
